At 3:40, the hour hand and the minute hand of a clock form an angle of:

A    1200

B    1250

C    1300

D    1350

Solution

Correct Answer: Option C

 

Angle traced by hour hand in 12 hrs. = 360°.

Angle traced by it in 11/3 hrs = ((360/12) ×11/3)0 = 1100

Angle traced by minute hand in 60 min. = 360°.

Angle traced by it in 40 min. = ((360/60) × 40)0 = 2400

So, Required angle (240 - 110)0 = 1300

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